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Simplifying 0.23z + 0.046 = 0.01z + -0.394 Reorder the terms: 0.046 + 0.23z = 0.01z + -0.394 Reorder the terms: 0.046 + 0.23z = -0.394 + 0.01z Solving 0.046 + 0.23z = -0.394 + 0.01z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.01z' to each side of the equation. 0.046 + 0.23z + -0.01z = -0.394 + 0.01z + -0.01z Combine like terms: 0.23z + -0.01z = 0.22z 0.046 + 0.22z = -0.394 + 0.01z + -0.01z Combine like terms: 0.01z + -0.01z = 0.00 0.046 + 0.22z = -0.394 + 0.00 0.046 + 0.22z = -0.394 Add '-0.046' to each side of the equation. 0.046 + -0.046 + 0.22z = -0.394 + -0.046 Combine like terms: 0.046 + -0.046 = 0.000 0.000 + 0.22z = -0.394 + -0.046 0.22z = -0.394 + -0.046 Combine like terms: -0.394 + -0.046 = -0.44 0.22z = -0.44 Divide each side by '0.22'. z = -2 Simplifying z = -2
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